Greatest Common Factor of 93 and 101

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 93 and 101 by prime factorization method
• Greatest Common Factor of 93 and 101 by matching factors method

Prime Factorization of 93

Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:

93 = 3¹×31¹

Prime Factorization of 101

Prime factors of 101 are 101. Prime factorization of 101 in exponential form is:

101 = 101¹

∴ So by taking common prime factors GCF of 93 and 101 is 1

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors and prime factorization of 93 and 101. The biggest common factor number is the GCF number.
So the greatest common factor 93 and 101 is 1.

Also check out the Least Common Multiple of 93 and 101

(i) The GCF of 93 and 101 is associative

GCF of 93 and 101 = GCF of 101 and 93

1. What is the GCF of 93 and 101?

Answer: GCF of 93 and 101 is 1.

2. What are the Factors of 93?

Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.

3. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

4. How to Find the GCF of 93 and 101?

Answer:

Greatest Common Factor of 93 and 101 = 1

Step 1: Find the prime factorization of 93

93 = 3 x 31

Step 2: Find the prime factorization of 101

101 = 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 93 and 101 is 1